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Finding the Fourth Proportional to 81,910.30, 122,865.34 and 25,755.32

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Solution

The fourth proportional to 81,910.30, 122,865.34 and 25,755.32 is: 38,632.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,910.30 : 122,865.34 = 25,755.32 : x
  2. Step 2: Convert to fraction form
    81,910.30/122,865.34 = 25,755.32/x
  3. Step 3: Cross multiply
    81,910.30x = 122,865.34 × 25,755.32
  4. Step 4: Simplify right side
    81,910.30x = 3,164,435,748.56
  5. Step 5: Solve for x
    x = 3,164,435,748.56/81,910.30
  6. Step 6: Final answer
    x = 38,632.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.